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Finding the Fourth Proportional to 71,662.70, 98,897.88 and 39,832.13

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Solution

The fourth proportional to 71,662.70, 98,897.88 and 39,832.13 is: 54,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662.70 : 98,897.88 = 39,832.13 : x
  2. Step 2: Convert to fraction form
    71,662.70/98,897.88 = 39,832.13/x
  3. Step 3: Cross multiply
    71,662.70x = 98,897.88 × 39,832.13
  4. Step 4: Simplify right side
    71,662.70x = 3,939,312,718.40
  5. Step 5: Solve for x
    x = 3,939,312,718.40/71,662.70
  6. Step 6: Final answer
    x = 54,970.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.